Some explanation are unnecessarily complicated, I think. The keyword is orthogonality.
Sine signals of different frequency (also freq=0, DC) are orthogonal. Their generated power adds linearly, respectively rms values have to be squared.
I also did a simulation with several frequencies ... and with my results the square and squareroot worked.I went a step further and I found out that it is not only frequency that determines the RMS value
Hi,
I also did a simulation with several frequencies ... and with my results the square and squareroot worked.
May I ask how you did your simulation?
Are you sure you did it long enough for the combined waveform to repeat (may be a lot of cycles)
You need an integer number of cycles of the one frequency a d an integer number of the other frequency.
Else you get a non integer cyle of one frequency ... where the RMS is not sqrt(2) of the peak anymore.
Klaus
Actually both.I am just trying to strengthen the point that orthogonality is not determined by frequency but by phase.
RMS = SQRT(RMSA^2 + RMSB^2) is correct but A and B must be 90 degrees out of phase
Yes, because in phase the forces aid each other and at 180 degrees out of phase the forces are in direct opposition, at all times.presumably if they are in phase the vector addition works too...? ( simple addition works in this case too - as it does for the 180 deg case )
No, vector addition works in all cases including 45 degrees. I confirmed this in post #30:are you implying that for 45 deg out of phase - vector addition won't work ... ?
… I acknowledge the fact that vector addition is correct in all cases as mentioned by Easy peasy…
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